群论和物理学（英文版） 下载 mobi epub pdf 电子书 2024

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内容简介

Group theory is one of the great achievements of 19th century mathematics. It emerged as a unifying idea drawing on four different sources： number theory， the theory of equations， geometry， and crystallography. The early motivation from number theory stemmed from the work of Euler， Legendre and Gauss on power residues. In the theory of equations， the study of various permutation groups became increasingly important through the work of Lagrange， Ruffini， Gauss， Abel， Cauchy， and especially Galois. The discovery of new types of geometries-including non-Euclidean， affine， projective etc.-led， eventually， to the famous Erlangen program of Klein， which proposed that the true study of any geometry lies in an analysis of its group of motions. In crystallography， the possible symmetries of the internal structure of a crystal were enumerated long before there was any possibility of its physical determination （by X-ray analysis）.

目录

Preface
1 Basic definitions and examples
1.1 Groups: definition and examples
1.2 Homomorphisms: the relation between SL 2, and the Lorentz group
1.3 The action of a group on a set
1.4 Conjugation and conjugacy classes
1.5 Applications to crystallography
1.6 The topology of SU 2 and SO 3
1.7 Morphisms
1.8 The classification of the finite subgroups of SO 3
1.9 The classification of the finite subgroups of O 3
1.10 The icosahedral group and the fullerenes

2 Representation theory of finite groups
2.1 Definitions, examples, irreducibility
2.2 Complete reducibility
2.3 Schur's lemma
2.4 Characters and their orthogonality relations
2.5 Action on function spaces
2.6 The regular representation
2.7 Character tables
2.8 The representations of the symmetric group

3 Molecular vibrations and homogeneous vector bundles
3.1 Small oscillations and group theory
3.2 Molecular displacements and vector bundles
3.3 Induced representations
3.4 Principal bundles
3.5 Tensor products
3.6 Representative operators and quantum mechanical selection rules
3.7 The semiclassical theory of radiation
3.8 Semidirect products and their representations
3.9 Wigner's classification of the irreducible representations of the Poincare group
3.10 Parity
3.11 The Mackey theorems on induced representations, with applications to the symmetric group
3.12 Exchange forces and induced representations

4 Compact groups and Lie groups
4.1 Haar measure
4.2 The Peter-Weyl theorem
4.3 The irreducible representations of SU 2
4.4 The irreducible representations of SO 3 and spherical harmonics
4.5 The hydrogen atom
4.6 The periodic table
4.7 The shell model of the nucleus
4.8 The Clebsch-Gordan coefficients and isospin
4.9 Relativistic wave equations
4.10 Lie algebras
4.11 Representations of su 2

5 The irreducible representations of SU n
5.1 The representation of Gl V on the r-fold tensor product
5.2 Gl V spans Hornsr TrV, TrV
5.3 Decomposition of TrV into irreducibles
5.4 Computational rules
5.5 Description of tensors belonging to W
5.6 Representations of Gl V and Sl V on U
5.7 Weight vectors
5.8 Determination of the irreducible finite-dimensional repre-sentations of Sl d, C
5.9 Strangeness
5.10 The eight-fold way
5.11 Quarks
5.12 Color and beyond
5.13 Where do we stand

Appendix A The Bravais lattices and the arithmetical crystal classes
A.1 The lattice basis and the primitive cell
A.2 The 14 Bravais lattices
Appendix B Tensor product
Appendix C Integral geometry and the representations of the symmetric group
C.1 Partition pairs
C.2 Proof of the main combinatorial lemma
C.3 The Littlewood-Richardson rule and Young's rule
C.4 The ring of virtual representations of all the Sn
C.5 Dimension formulas
C.6 The Murnaghan-Nakayama rule
C.7 Characters of Gl V
AppendixD Wigner's theorem on quantum mechanical symmetries
Appendix E Compact groups, Haar measure, and the Peter-Weyl theorem
Appendix F A history of 19th century spectroscopy
Appendix G Characters and fixed point formulas for Lie groups
Further reading
Index

前言/序言

群论和物理学（英文版） 下载 mobi epub pdf txt 电子书 格式

评分☆☆☆☆☆

还没来得及看,实在没有时间读书

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。。。。。。。。。。。。。。。。

评分☆☆☆☆☆

看起来有点艰涩，可能是专业的缘故吧

评分☆☆☆☆☆

可惜, Georgi 那本没影印版

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包装不错，送货也挺快的。看完再来评价

评分☆☆☆☆☆

书很好，还没看，先收藏着。

评分☆☆☆☆☆

包装精美，内容也很翔实，但是不是很系统。

评分☆☆☆☆☆

这本书是学习群论非常好的一本参考书，写法和国内的教材有很多不一样的地方，物理的东西更多。不过内容有点难，读起来有点费力。可以结合中文的教材一起读，效果会好一些的。

评分☆☆☆☆☆

这本书是学习群论非常好的一本参考书，写法和国内的教材有很多不一样的地方，物理的东西更多。不过内容有点难，读起来有点费力。可以结合中文的教材一起读，效果会好一些的。

类似图书 点击查看全场最低价